Given that cos x o = (frac{1}{r}), express tan x in terms of r
MATHEMATICSWAEC 2011
Given that cos xo = \(\frac{1}{r}\), express tan x in terms of r
- A. \(\frac{1}{\sqrt{r}}\)
- B. \(\sqrt{r}\)
- C. \(\sqrt{r^2 + 1}\)
- D. \(\sqrt{r^2 - 1}\)
Correct Answer: D. \(\sqrt{r^2 - 1}\)
Explanation
cos xo = \(\frac{1}{r}\); \(\sqrt{r^2 - 1}\)
By Pythagoras r2 = 12 + x2 - 1
x = \(\sqrt{r^2 - 1}\)
tan xo = \(\sqrt{r^2 - 1}\)
= \(\sqrt{r^2 - 1}\)
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